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Limit cycles of a three-dimensional bio-reactor with inhibition responses

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Abstract

By using a relation connecting the global stability and Hopf bifurcation, the existence of limit cycles in a three-dimensional bio-reactor model of exploitative competition of two predator organisms with inhibition responses for the same renewable organism with reproductive properties is obtained. We also correct the proof of the main result in a previous paper of the same model (Su et al., J. Math. Chem., 2007).

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  1. Yangzhou Polytechnic University, Yangzhou, Jiangsu, 225009, China

    Lemin Zhu

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  1. Lemin Zhu
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Correspondence to Lemin Zhu.

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Zhu, L. Limit cycles of a three-dimensional bio-reactor with inhibition responses. J Math Chem 44, 862–871 (2008). https://doi.org/10.1007/s10910-008-9387-2

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  • DOI: https://doi.org/10.1007/s10910-008-9387-2

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